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Finding the Fourth Proportional to 101,530.77, 140,051.13 and 65,219.99

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Solution

The fourth proportional to 101,530.77, 140,051.13 and 65,219.99 is: 89,964.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,530.77 : 140,051.13 = 65,219.99 : x
  2. Step 2: Convert to fraction form
    101,530.77/140,051.13 = 65,219.99/x
  3. Step 3: Cross multiply
    101,530.77x = 140,051.13 × 65,219.99
  4. Step 4: Simplify right side
    101,530.77x = 9,134,132,353.26
  5. Step 5: Solve for x
    x = 9,134,132,353.26/101,530.77
  6. Step 6: Final answer
    x = 89,964.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.